Question 192
For what values of the real parameter $a$ does the system of equations have
$$
x + y = a^{3} - a \quad \text{and} \quad x y = a^{2}
$$
real solutions $x$ and $y$?
$$
x + y = a^{3} - a \quad \text{and} \quad x y = a^{2}
$$
real solutions $x$ and $y$?